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Finding the Fourth Proportional to 1,028.72, 1,542.86 and 298.16

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Solution

The fourth proportional to 1,028.72, 1,542.86 and 298.16 is: 447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.72 : 1,542.86 = 298.16 : x
  2. Step 2: Convert to fraction form
    1,028.72/1,542.86 = 298.16/x
  3. Step 3: Cross multiply
    1,028.72x = 1,542.86 × 298.16
  4. Step 4: Simplify right side
    1,028.72x = 460,019.14
  5. Step 5: Solve for x
    x = 460,019.14/1,028.72
  6. Step 6: Final answer
    x = 447.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.